Which relationships within the diagram are true? check all that apply. △acf ≅ △aeb because of asa. △acf ≅ △aeb because of sas. △acf ≅ △aeb because of aas. ∠cfa ≅ ∠eba fc ≅ be fc ≅ ac

The correct answer is (A) △ACF ≅ △AEB because of ASA. (D) ∠CFA ≅ ∠EBA (E) FC ≅ BE

Step-by-step explanation:

∠CAF ≅ ∠EAB, Given that the angle AC ≅ AE; ∠ACD ≅ ∠AED, because is the same angle in Vertex A

Then we say, △ACF ≅ △AEB because of ASA has a coherent side (AC ≅ AE) and the two adjoining angles to this side are also coherent (∠ACD ≅ ∠AED and ∠CAF ≅ ∠EAB), then we say option (A) is true: △ACF ≅ △AEB because of angle side angle.

If the two triangles are coherent, then the FC ≅ BE; and ∠CFA ≅ ∠EBA, by CPCTC, then Options D and E are correct